a) Solve the initial value problem y" + 2y' + 5y = 0, y(0) = 4 and y'(0) = -1. b) Describe the behavior of the solution as t goes to infinity. Assume the input of y is t, i.e. y(t).
a) Solve the initial value problem y" + 2y' + 5y = 0, y(0) = 4 and y'(0) = -1. b) Describe the behavior of the solution as t goes to infinity. Assume the input of y is t, i.e. y(t).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Transcribed Image Text:a) Solve the initial value problem y" + 2y' + 5y = 0, y(0) = 4 and y'(0) = -1.
b) Describe the behavior of the solution as t goes to infinity. Assume the input of y is t, i.e. y(t).
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